# Problems with Lengths

Lesson

## Bringing it all together

Now that we've seen how to convert between units, including when we can convert between units using two steps, we can use these skills to do things like compare lengths. Come and see how we determine who hit the baseball the longest distance, as well as how much fabric you can buy.

The conversion chart can help us as well.

Remember!

When we convert units, we need to remember whether to multiply or divide. Will we end up with more units, that are smaller (multiplication), or will we end up with bigger units, but less of them (division)?

#### Worked examples

##### Question 1

The table given shows the distance from New York to other cities in the United States:

City Distance (km)
Los Angeles $3940$3940
Houston $2284$2284
Washington $328$328
Chicago $1146$1146
Charlotte $856$856
New Orleans $1882$1882
1. Which city is furthest from New York?

Houston

A

Los Angeles

B

Charlotte

C

Chicago

D

New Orleans

E

Washington

F

Houston

A

Los Angeles

B

Charlotte

C

Chicago

D

New Orleans

E

Washington

F
2. Which city is nearest to New York?

Charlotte

A

Chicago

B

Houston

C

Washington

D

New Orleans

E

Los Angeles

F

Charlotte

A

Chicago

B

Houston

C

Washington

D

New Orleans

E

Los Angeles

F
3. Which city is about $1000$1000 km further away from New York than Charlotte?

Chicago

A

Los Angeles

B

Washington

C

New Orleans

D

Houston

E

Chicago

A

Los Angeles

B

Washington

C

New Orleans

D

Houston

E

##### Question 2

A rectangular table is measured to be $253$253 centimetres long and $1.49$1.49 metres wide.

1. Convert the length of the rectangular table to metres.

2. Calculate the difference between the length and the width in metres.

##### Question 3

Joanne is $156$156 cm tall. Victoria is $1.14$1.14 m tall.

1. Work out the height of Victoria in centimetres.

2. Who is taller?

Joanne

A

Victoria

B

Joanne

A

Victoria

B

### Outcomes

#### GM4-1

Use appropriate scales, devices, and metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time